RD Sharma Class 9 Solutions Chapter 2 MCQs (Updated for 2024)

RD Sharma Class 9 Solutions Chapter 2 MCQs: It isn’t difficult to ace your Class 9 Maths exams. All you need is sheer determination and good preparation from RD Sharma Solutions Class 9 Maths. You won’t have any problem understanding the solutions as they are easily designed by subject matter experts. All your doubts will be clear here. To know more about the RD Sharma Class 9 Solutions Chapter 2 MCQs, read the whole blog.

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Mark the correct alternative in each of the following:

Mark the correct alternative in each of the following:
Question 1.
The value of {2 – 3 (2 – 3)³}³ is
(a) 5
(b) 125
(c) 15
(d) -125
Solution:
{2 – 3 (2 – 3)³}³ = {2 – 3 (-1)³}³
= {2 – 3 x (-1)}³
= (2 + 3)³ = (5)³
= 125    (b)

Question 2.
The value of x – y^x-y when x = 2 and y = -2 is
(a) 18
(b) -18
(c) 14
(d) -14
Solution:
x = 2, y = -2
x-y^x-y = 2 – (-2)^{2 – (-2)}
= 2 – (-2)^2 + 2 = 2 – (-2)⁴
= 2 – (+16) = 2 – 16 = -14        (d)

Question 3.
The product of the square root of x with the cube root of x, is
(a) cube root of the square root of x
(b) sixth root of the fifth power of x
(c) fifth root of the sixth power of x
(d) sixth root of x
Solution:

Question 4.
The seventh root of x divided by the eighth root of x is

Solution:

Question 5.
The square root of 64 divided by the cube root of 64 is
(a) 64
(b) 2
(c) 12
(d) 64²³
Solution:

Question 6.
Which of the following is (are) not equal to

Solution:

Question 7.
When simplified (x^–1 + y^–1)^–1 is equal to

Solution:

Question 8.
If 8^x+1 = 64, what is the value of 3 ^2x +1?
(a) 1
(b) 3
(c) 9
(d) 27
Solution:

Question 9.
If (2³)² = 4^x then   3^x =
(a) 3
(b) 6
(c) 9
(d) 27
Solution:

Question 10.
If x^-2= 64, then x¹³ + x°=
(a) 2
(b) 3
(c) 32
(c) 23
Solution:

Question 11.
When simplified ( –127)⁻²³
(a) 9
(b) -9
(c) 19
(d) –19
Solution:

Question 12.
Which one of the following is not equal to

Solution:

Question 13.
Which one of the following is not equal to

Solution:

Question 14.
If a, b, c are positive real numbers, then

Solution:

Question 15.

Solution:

Question 16.

Solution:

Question 17.

Solution:

Question 18.

Solution:

Question 19.

Solution:

Question 20.

Solution:

Question 21.
The value of {(23 + 2²)^2/3+ (150 -29)^1/2}²  is
(a) 196
(b) 289
(c) 324
(d) 400
Solution:
{(23 + 2²)^2/3 + (150 – 29)^1/2}²
= [(23×4)²³  +(150 – 29)¹² ]²
= [(27)²³ + (121)¹² ]²
= [(3³)³ +(11²)¹²]² = (9 + 11)²
= (20)² = 400  (d)

Question 22.
(256)^0.16x (256)^0.09
(a) 4
(b) 16
(c) 64
(d) 256.25
Solution:

Question 23.
If 10^2y = 25, then 10^-y equals

Solution:

Question 24.
If 9^X + 2 = 240 + 9^X. then x =
(a) 0.5
(b) 0.2
(c) 0.4
(d) 0.1
Solution:

Question 25.
If x is a positive real number and x² = 2, then x³ =
(a) 2–√
(b) 22–√
(c) 32–√
(d) 4
Solution:

Question 26.

Solution:

Question 27.

Solution:

Question 28.

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Question 29.

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Question 30.

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Question 31.

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Question 32.

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Question 33.
If (16)^{2x + 3} = (64)^{x + 3} , then 4^{2x – 2}  =
(a) 64
(b) 256
(c) 32
(d) 512
Solution:

Question 34.

Solution:

Question 35.

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Question 36.

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Question 37.

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Question 38.

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Question 39.

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Question 40.

Solution:

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